A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delivery takes an average of 30 hours. Drivers are paid at the rate of $20 per hour up to maximum of 40 hours. If the trip requires more than 30 hours, the drivers receive compensation for only 30 hours. There is an incentive for drivers to make the trip in less (but not to much less) than 30 hours. For each hour under 30, the hourly wage increases by $1.25. Determine the function w = f(x) where w equals the hourly wage in dollars and x equals the number of hours required to complete the trip. a) What trip time x will maximize the driver salary for the trip? b) What is the hourly wage associated with this trip? c) What is the maximum salary d) How does this salary compare with that received for a 20 hours trip?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
A producer of perishable product offers a wage incentive to drivers of its trucks.
A standard delivery takes an average of 30 hours. Drivers are paid at the rate
of $20 per hour up to maximum of 40 hours. If the trip requires more than 30
hours, the drivers receive compensation for only 30 hours. There is an incentive
for drivers to make the trip in less (but not to much less) than 30 hours. For
each hour under 30, the hourly wage increases by $1.25.
Determine the function w = f(x) where w equals the hourly wage in dollars and
x equals the number of hours required to complete the trip.
a) What trip time x will maximize the driver salary for the trip?
b) What is the hourly wage associated with this trip?
c) What is the maximum salary
d) How does this salary compare with that received for a 20 hours trip?
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